Finding the Third Proportional to 123,566 and 271,190

Step by Step Solution

1. Step 1: Write the proportion equation
   123,566 : 271,190 = 271,190 : x
2. Step 2: Convert to fraction form
   123,566/271,190 = 271,190/x
3. Step 3: Cross multiply
   123,566x = 271,190 × 271,190
4. Step 4: Simplify right side
   123,566x = 73,544,016,100
5. Step 5: Solve for x
   x = 73,544,016,100/123,566
6. Step 6: Final answer
   x = 595,180.03